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Finding the Fourth Proportional to 2,609.74, 3,601.29 and 1,430.61

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Solution

The fourth proportional to 2,609.74, 3,601.29 and 1,430.61 is: 1,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.74 : 3,601.29 = 1,430.61 : x
  2. Step 2: Convert to fraction form
    2,609.74/3,601.29 = 1,430.61/x
  3. Step 3: Cross multiply
    2,609.74x = 3,601.29 × 1,430.61
  4. Step 4: Simplify right side
    2,609.74x = 5,152,041.49
  5. Step 5: Solve for x
    x = 5,152,041.49/2,609.74
  6. Step 6: Final answer
    x = 1,974.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.